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53193408 = 2631743379
BaseRepresentation
bin1100101011101…
…0101011000000
310201002111122020
43022322223000
5102104142113
65140041440
71214064552
oct312725300
9121074566
1053193408
1128031aa4
1215993280
13b035ab8
1470c94d2
154a0b023
hex32baac0

53193408 has 112 divisors (see below), whose sum is σ = 152887680. Its totient is φ = 16257024.

The previous prime is 53193379. The next prime is 53193409. The reversal of 53193408 is 80439135.

It is not an unprimeable number, because it can be changed into a prime (53193409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140163 + ... + 140541.

Almost surely, 253193408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

53193408 is an abundant number, since it is smaller than the sum of its proper divisors (99694272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53193408 is a wasteful number, since it uses less digits than its factorization.

53193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 53193408 is about 7293.3811089234. The cubic root of 53193408 is about 376.0849362971.

It can be divided in two parts, 531 and 93408, that added together give a palindrome (93939).

The spelling of 53193408 in words is "fifty-three million, one hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 136 172 192 204 258 272 344 379 408 516 544 688 731 758 816 1032 1088 1137 1376 1462 1516 1632 2064 2193 2274 2752 2924 3032 3264 4128 4386 4548 5848 6064 6443 8256 8772 9096 11696 12128 12886 16297 17544 18192 19329 23392 24256 25772 32594 35088 36384 38658 46784 48891 51544 65188 70176 72768 77316 97782 103088 130376 140352 154632 195564 206176 260752 277049 309264 391128 412352 521504 554098 618528 782256 831147 1043008 1108196 1237056 1564512 1662294 2216392 3129024 3324588 4432784 6649176 8865568 13298352 17731136 26596704 53193408